Correct option is BGiven: (34333)3×(21633)3\left(\sqrt[3]{\sqrt[3]{343}}\right)^3 \times \left(\sqrt[3]{\sqrt[3]{216}}\right)^3(33343)3×(33216)3 Concept Used: (xa)n=xa×n( x^a)^n = x^{a\times n}(xa)n=xa×n Solution: =(34333)3×(21633)3 =(73)3×(63)3 =(7)13×3×(6)13×3 =7×6 =42=\left(\sqrt[3]{\sqrt[3]{343}}\right)^3 \times \left(\sqrt[3]{\sqrt[3]{216}}\right)^3 \\ \ \\ = \left(\sqrt[3]{7}\right)^3 \times \left(\sqrt[3]{6}\right)^3 \\ \ \\ = \left({7}\right)^{\frac{1}{\cancel3}\times \cancel 3} \times \left({6}\right)^{\frac{1}{\cancel3}\times\cancel3} \\ \ \\ = 7 \times 6 \\ \ \\ = 42=(33343)3×(33216)3 =(37)3×(36)3 =(7)31×3×(6)31×3 =7×6 =42